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On a modified counter with prolonging dead time

Published online by Cambridge University Press:  14 July 2016

A. Dvurečenskij  and
G. A. Ososkov
A. Dvurečenskij*
Affiliation:
JINR, Dubna
G. A. Ososkov*
Affiliation:
JINR, Dubna
*
∗Postal address: Joint Institute for Nuclear Research, LCTA, Head Post Office, P.O. Box 79, 101000 Moscow, USSR.
∗Postal address: Joint Institute for Nuclear Research, LCTA, Head Post Office, P.O. Box 79, 101000 Moscow, USSR.
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Abstract

Emitted particles arrive at the counter with prolonging dead time so that the interarrival times and the lengths of impulses in any dead time are independent but not necessarily identically distributed random variables, and whenever the counter is idle then the following evolution starts from the beginning. For this class of counters we derive the probability laws of the numbers of particles arriving at the counters during their dead times, and the Laplace transform of the cycle, respectively.

Keywords

CYCLELAPLACE TRANSFORMTYPE II COUNTER
Type
Research Papers
Information
Journal of Applied Probability , Volume 22 , Issue 3 , September 1985 , pp. 678 - 687
Copyright
Copyright © Applied Probability Trust 1985 

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